Abstract:
Results on the local behaviour of maps between Riemannian manifolds such that their inverses satisfy upper bounds on the distortion of the moduli of families of curves are obtained. For families of such maps theorems on their equicontinuity at interior points and boundary points of the domain are established.
Bibliography: 30 titles.
Keywords:
Riemannian manifold, modulus of a family of curves, map with bounded distortion, map with finite distortion, inverse map, local behaviour of maps.
Citation:
D. P. Ilyutko, E. A. Sevost'yanov, “On the local and boundary behaviour of inverse maps on Riemannian manifolds”, Sb. Math., 213:1 (2022), 42–62
\Bibitem{IlySev22}
\by D.~P.~Ilyutko, E.~A.~Sevost'yanov
\paper On the local and boundary behaviour of inverse maps on Riemannian manifolds
\jour Sb. Math.
\yr 2022
\vol 213
\issue 1
\pages 42--62
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https://www.mathnet.ru/eng/sm9511
https://doi.org/10.1070/SM9511
https://www.mathnet.ru/eng/sm/v213/i1/p46
This publication is cited in the following 1 articles:
E. Sevost, “On mappings with the inverse Poletsky inequality on Riemannian manifolds”, Acta Math. Hungar., 2022
Citation in format AMSBIB
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